Fractional quantum numbers deduced from experimental ground state meson spectra

TL;DR

This paper proposes that meson ground state spectra can be classified using fractional rotation groups, suggesting quarks possess a new fractional quantum number called fractional hyper charge, based on experimental data.

Contribution

It introduces a novel classification scheme for mesons using fractional derivatives and identifies a new fractional quantum number for quarks from experimental spectra.

Findings

Meson spectra form multiplets of fractional rotation groups.

Quarks may carry a fractional hyper charge.

Experimental data supports the fractional classification.

Abstract

Based on the Caputo definition of the fractional derivative the ground state spectra of mesons are classified as multiplets of the fractional rotation group. The comparison with the experimental values leads to the conclusion, that quarks carry an up to now unrevealed fractional multiplicative quantum number, which we call fractional hyper charge.